Properties

Label 6171.2.bj
Level $6171$
Weight $2$
Character orbit 6171.bj
Rep. character $\chi_{6171}(494,\cdot)$
Character field $\Q(\zeta_{22})$
Dimension $7040$
Sturm bound $1584$

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Defining parameters

Level: \( N \) \(=\) \( 6171 = 3 \cdot 11^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6171.bj (of order \(22\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 363 \)
Character field: \(\Q(\zeta_{22})\)
Sturm bound: \(1584\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6171, [\chi])\).

Total New Old
Modular forms 7960 7040 920
Cusp forms 7880 7040 840
Eisenstein series 80 0 80

Decomposition of \(S_{2}^{\mathrm{new}}(6171, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

Decomposition of \(S_{2}^{\mathrm{old}}(6171, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6171, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(363, [\chi])\)\(^{\oplus 2}\)